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A, B, and C invest in a business in the ratio of 3:4:5. If the total profit is $

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Question: A, B, and C invest in a business in the ratio of 3:4:5. If the total profit is $240,000, how much does C receive?

Options:

  1. $80,000
  2. $100,000
  3. $120,000
  4. $60,000

Correct Answer: $100,000

Solution:

Total parts = 3 + 4 + 5 = 12. C\'s share = (5/12) * 240000 = $100,000.

A, B, and C invest in a business in the ratio of 3:4:5. If the total profit is $

Practice Questions

Q1
A, B, and C invest in a business in the ratio of 3:4:5. If the total profit is $240,000, how much does C receive?
  1. $80,000
  2. $100,000
  3. $120,000
  4. $60,000

Questions & Step-by-Step Solutions

A, B, and C invest in a business in the ratio of 3:4:5. If the total profit is $240,000, how much does C receive?
  • Step 1: Identify the investment ratio of A, B, and C, which is 3:4:5.
  • Step 2: Add the parts of the ratio together: 3 + 4 + 5 = 12.
  • Step 3: Determine C's part of the ratio, which is 5.
  • Step 4: Calculate C's share of the total profit by using the formula: (C's part / total parts) * total profit.
  • Step 5: Substitute the values into the formula: (5/12) * 240000.
  • Step 6: Perform the calculation: 5 * 240000 = 1200000, then divide by 12 to get 100000.
  • Step 7: Conclude that C receives $100,000.
  • Ratio and Proportion – Understanding how to divide profits based on the ratio of investments.
  • Basic Arithmetic – Performing addition and multiplication to calculate shares.
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